COURSE DESCRIPTIONS
SPRING, 2005
MATH 112 The Language Of Mathematics
4 Sem Hrs
Barhorst
This is an introduction to mathematics at the beginning college level. MATH 112 will explore topics in contemporary mathematics with a problem-solving approach.
The class meetings will include lectures, problem-solving sessions, and group work. The final grade will be based on quizzes, exams, a project, and/or a comprehensive final. The prerequisite for this course is Math Placement Level 22 or higher. This course is not intended to prepare students for further courses in mathematics. Mathematical-reasoning intensive.
MATH 118 Mathematics For Elementary
4 Sem Hrs
Kraus
And Middle School Teachers
Study of number systems, number theory, patterns, functions, measurement, algebra, logic, probability, and statistics with a special emphasis on the processes of mathematics: problem solving, reasoning, communicating mathematically, and making connections within mathematics and between mathematics and other areas. Open only to students intending to major in education. Prerequisite: Math Placement Level 22 or higher. Every year. Mathematical-reasoning intensive.
MATH 119 Geometry With Logo Programming
2 Sem Hrs
Kraus
For Elementary And Middle School Teachers
Study of basic concepts of plane and solid geometry, including topics from Euclidean, transformational, and projective geometry. Includes computer programming experiences using Geometer = s Sketchpad. Prerequisites: MATH 118. Every year. Mathematical-reasoning intensive.
MATH 120 Elementary Functions
4 Sem Hrs
Hodel/Shelburne
This is a standard pre-calculus mathematics course that explores the functions common to the study of calculus. Examination of polynomial, rational, exponential, logarithmic, and trigonometric functions will be done using algebraic, numeric, and graphical techniques. Applications of these functions in formulating and solving real-world problems will also be discussed.
Depending on the instructor, the final grade in the course could be based on homework, quizzes, tests, and a comprehensive final exam. Students are required to have a TI-83, TI-84, or TI-86 graphing calculator for use in class and for homework assignments.
The prerequisite for this course is Math Placement Level 24 or higher. Mathematical-reasoning intensive.
MATH 127 Introductory Statistics
4 Sem Hrs
Andrews
A study of statistics as the science of using data to glean insight into real-world problems. Includes graphical and numerical methods for describing and summarizing data, sampling procedures and experimental design, inferences about the real-world processes that underlie the data, and student projects for collecting and analyzing data. Open to non-majors only.
Prerequisites: Math Placement Level 23 or higher (Note: A student may receive credit for only one of the following statistics courses: MATH 127, MATH 227, PSYC 107, or MGT 210). Mathematical-reasoning intensive.
MATH 131 Essentials Of Calculus
4 Sem Hrs
Davenport/Hodel
This one semester calculus course is an introduction to the techniques and applications of differential and integral calculus. The applications come primarily from the bio-sciences and do not involve any trigonometric models. Depending on the instructor, the final grade in the course could be based on homework, quizzes, tests, and a comprehensive final exam.
The prerequisite is MATH 120 or Math Placement Level 25. Students are required to have a TI-83, TI-84, or TI-86 graphing calculator for use in class and for homework assignments. Mathematical-reasoning intensive.
Notes: 1. Students may not receive credit for both MATH 131 and MATH 201
2. MATH 131 does not satisfy the prerequisite for MATH 202.
3. Take MATH 131 only if you are POSITIVE that you will take only one semester of calculus at Wittenberg. Otherwise, you should take MATH 201.
MATH 171 Discrete Mathematics
4 Sem Hrs
Davenport
This course covers a variety of topics in discrete mathematics which are important to the understanding of computer science and mathematics: logic, set theory, relations and functions, counting techniques, combinatorics, number theory, induction, recursion, and graph theory. The course will stress the presentation of mathematical arguments and proofs. Grading will be based on in-class tests, written homework assignments, and a final exam. Required for a major in computer science. Prerequisite is Math Placement Level 25. WRITING INTENSIVE. Mathematical-reasoning intensive.
MATH 201 Calculus I
4 Sem Hrs
Higgins/Stickney
Calculus is the mathematical tool used to analyze changes in physical quantities. This is the first course in the standard calculus sequence. It develops the notion of "derivative", which is used for studying rates of change, and then introduces the concept of "definite integral", which is related to area problems. The overall approach will emphasize the concepts of calculus using graphical, numerical, and symbolic methods.
The two-semester calculus sequence, MATH 201/202, is required for all students majoring or minoring in mathematics, computer science, physics, or chemistry. MATH 201 and MATH 202 can also count as supporting science courses for the BA and BS programs in Biology, Geology, and Biochemistry/Molecular Biology. Students who are sure they will take only one semester of calculus may be better served in the single-semester introduction to calculus, MATH 131: A Essentials of Calculus @ . Talk with your advisor or with any math professor for advice on which calculus course is most appropriate for you.
Normally, students are required to have a TI-83, TI-84, or TI-86 graphing calculator for use in class, for homework assignments, and for tests. If you have a different calculator that you = d like to use for the class, contact the instructor to find out whether your calculator is appropriate.
Depending on the instructor, the final grade in the course could be based on homework, quizzes, tests, and a comprehensive final exam. The prerequisite for the course is MATH 120 or Math Placement Level 25. Mathematical-reasoning intensive.
NOTE: Students may not receive credit for both MATH 131 and MATH 201.
MATH 202 Calculus II
4 Sem Hrs
Higgins/Stickney
This is the second course in Wittenberg = s three semester calculus sequence. MATH 202 is primarily concerned with integration and power series representations of functions. Topics covered include indefinite and definite integrals, the Fundamental Theorem of Calculus, integration techniques, elementary differential equations, approximations of definite integrals, improper integrals, applications of integrals, power series, Taylor = s Series, geometric series, and convergence tests for series.
Students will be required to have a TI-83, TI-84, or TI-86 graphing calculator for use in class, for homework assignments, and for tests. .
Depending on the instructor, the final grade in the course could be based on homework, quizzes, tests, and a comprehensive final exam. MATH 201 is a prerequisite . Mathematical-reasoning intensive.
MATH 210 Fundamentals Of Analysis
4 Sem Hrs
Higgins
Functions, set theory, sequences, the topology of the real line, and methods of mathematical proof. Particular emphasis is given to careful, accurate definition and proof of mathematical concepts. Grades are based on several tests, quizzes, homework assignments, and a final examination.
Prerequisite : MATH 202. WRITING INTENSIVE. Mathematical-reasoning intensive.
MATH 212 Multivariable Calculus
4 Sem Hrs
Davenport
The continuation of MATH 202 which is a prerequisite . This course completes the basic calculus sequence. It covers the calculus of functions of several variables and associated analytic geometry. Students are required to have a TI-83, TI-84, or TI-86 graphing calculator for use in class, for homework assignments, and for tests. The final grade in the course is based on quizzes, tests, and a comprehensive final exam. Mathematical-reasoning intensive.
MATH 228 Univariate Probability
4 Sem Hrs
Andrews
Probability is the branch of math in which we study randomness and quantify uncertainty. This course introduces some of the theory and applications of probability for a single variable. Topics include combinatorics, probability axioms, discrete and continuous random variables. This material constitutes one third of the first actuarial exam. Anyone interested in pursuing actuarial science or statistics should certainly take this course and it would be a great elective for any math major or minor.
Prerequisite: MATH 131 or MATH 202. Mathematical-reasoning intensive.
MATH 365 Abstract Algebra
4 Sem Hrs
Stickney
This course will focus on abstract algebraic structures such as groups, rings, and fields with particular attention to groups. There will be an emphasis on presenting arguments with a full explanation of the reasoning. Grades will be based on written homework, work done in class, and exams.
Prerequisite : MATH 205 and MATH 210. WRITING INTENSIVE. Mathematical-reasoning intensive.